I've provided my work which also includes how I check my answers by using the information given! Hope this helps!!! If you have any questions, I can try to help.

6 0

2 years ago

Circles M and K are congruent, QR is congrent to LN. Find the length of QR

Novosadov [1.4K]

Given QR is congrent to LN and QR = 4x + 2 and LN = x + 7.

So, QR = LN

Hence, we can set up an equation as following:

4x + 2 = x + 7

4x + 2 - x = x + 7 - x Subtract x from each sides.

3x + 2 = 7 By simplifying.

3x + 2 - 2 = 7 - 2 Subtract 2 from each sides.

3x = 5

$\frac{3x}{3} =\frac{5}{3}$ Divide each sides by 3 to isolate x.

So, $x=\frac{5}{3}$

Next step is to plug in $x=\frac{5}{3}$ in QR = 4x+2 to get length of QR.

So, $QR = 4(\frac{5}{3})+2$

$=(\frac{20}{3})+\frac{2}{1}$ Since 2 can be written as 2/1.

By multiplying the second fraction by the common denominator 3.

$=(\frac{20}{3})+\frac{2*3}{1*3}$

$=(\frac{20}{3})+\frac{6}{3}$ By simplifying the second fraction.

$=(\frac{26}{3})$

So, $QR=\frac{26}{3}$

5 0

3 years ago

How do you find the scale factor of a prism?

LenKa [72]

Answer:

To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides. If you begin with the smaller figure, your scale factor will be less than one. If you begin with the larger figure, your scale factor will be greater than one

7 0

3 years ago

Read 2 more answers

The number of popcorns sold at a movie theatre was 8 less than three times the number hotdogs. How many hotdogs did the theatre

serg [7]

Answer:

200

Step-by-step explanation:

If the theater sold 8 more popcorns, the total would be 600, and it would be exactly 3 times the number of hotdogs. The theater sold 1/3 of 600, or 200 hotdogs.

6 0

3 years ago